#### Study sets matching "conics"

#### Study sets matching "conics"

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the pa…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the pa…

What is the Focus of a parabola?

how know if equation is a circle

how know if equation is a parabola

how know if equation is an elipse

how know if equation is a hyperbola

2 squared terms

1 squared term

2 squared terms = 1

2 squared terms and (-) sign

how know if equation is a circle

2 squared terms

how know if equation is a parabola

1 squared term

Center of a Circle

Circle

Conic Section

Diameter

The point inside the circle that is the same distance from al…

The set of all points in a plane that are the same distance,…

A figure formed by the intersection of a plane and a right ci…

The distance across a circle through its center. The line seg…

Center of a Circle

The point inside the circle that is the same distance from al…

Circle

The set of all points in a plane that are the same distance,…

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the pa…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the pa…

What is the Focus of a parabola?

Ellipse

Hyperbolas

Hyperbola Standard Form

Circle Standard Form

A set of points where the distance form any point (x,y) on th…

The set of all points that have the following characteristics…

Ellipse

A set of points where the distance form any point (x,y) on th…

Hyperbolas

The set of all points that have the following characteristics…

Form of an Equation:... y = a(x-h)^2 + k…

Form of an Equation:... x = a(y-k)^2 + h…

Vertex

Axis of Symmetry

Up if a > 0, down if a < 0

Right if a > 0, Left if a < 0

Always (h,k)

x=h in up/down parabola & y=k in right/left parabola

Form of an Equation:... y = a(x-h)^2 + k…

Up if a > 0, down if a < 0

Form of an Equation:... x = a(y-k)^2 + h…

Right if a > 0, Left if a < 0

Circle

radius

Standard form of a circle

Center of circle

the set of all points in a plane that are equidistant from a…

the distance from the center to any point on the circle

(x-h)^2+(y-k)^2=r^2... or ... x^2+y^2=r^2

(h,k)

Circle

the set of all points in a plane that are equidistant from a…

radius

the distance from the center to any point on the circle

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1

(y - k)^2 / a^2 - (x - h)^2 / b^2 = 1

Ellipse (left to right)

Ellipse (up and down)

Hyperbola (left and right sides)

Hyperbola ( top and bottom)

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

Ellipse (left to right)

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

Ellipse (up and down)